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Standard XII

Physics

Instantaneous Force and Impulse

Consider a bo...

Question

Consider a body, shown in figure, consisting of two identical balls, each of mass $M$ connected by a light rigid rod. If an impulse $J = M V$ is imparted to the body at one of its ends, what would be its angular velocity?

V / L

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2 V / L

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V / 3 L

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V / 4 L

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Solution

The correct option is A $V / L$
Impulse $J = Δ P$
$M V = 2 M v^{'} - 0 ⟹ v^{'} = \frac{V}{2}$
The rod will rotate about its COM.
Thus $v^{'} = w \frac{L}{2} ⟹ w = \frac{V}{L}$

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Consider a body, shown in figure, consisting of two identical balls, each of mass M connected by a light rigid rod. If an impulse J=MV is imparted to the body at one of its ends, what would be its angular velocity?

The correct option is A V/LImpulse J=ΔPMV=2Mv′−0⟹v′=V2The rod will rotate about its COM. Thus v′=wL2⟹w=VL

Consider a body, shown in figure, consisting of two identical balls, each of mass $M$ connected by a light rigid rod. If an impulse $J = M V$ is imparted to the body at one of its ends, what would be its angular velocity?

The correct option is A $V / L$
Impulse $J = Δ P$
$M V = 2 M v^{'} - 0 ⟹ v^{'} = \frac{V}{2}$
The rod will rotate about its COM.
Thus $v^{'} = w \frac{L}{2} ⟹ w = \frac{V}{L}$